Coherent Backscattering of Bose-Einstein Condensates in Two-Dimensional Disorder Potentials

2008/04/23 by Michael Hartung, Thomas Wellens, Cord A. Müller +3 · 3 citations
Engineering · Physics and Astronomy · #Amplitude #Anderson localization #Atom (system on chip) #Bose–Einstein condensate #Coherent backscattering #Cold Atom Physics and Bose-Einstein Condensates #Constructive #Einstein #Interference (communication) #Limit (mathematics) #Matter wave #Physics #Quantum #Quantum electrodynamics #Quantum mechanics #Random lasers and scattering media #Scattering #Scattering length #Terahertz technology and applications #Weak localization #cond-mat.dis-nn #cond-mat.other

paper · pdf · doi:10.1103/physrevlett.101.020603

published as Phys. Rev. Lett. 101, 020603 (2008) · 4 pages, 4 figures

arxiv created 2008/04/23 · openalex publication_date 2008/07/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study quantum transport of an interacting Bose-Einstein condensate in a two-dimensional disorder potential. In the limit of a vanishing atom-atom interaction, a sharp cone in the angle-resolved density of the scattered matter wave is observed, arising from constructive interference between amplitudes propagating along reversed scattering paths. Weak interaction transforms this coherent backscattering peak into a pronounced dip, indicating destructive instead of constructive interference. We reproduce this result, obtained from the numerical integration of the Gross-Pitaevskii equation, by a diagrammatic theory of weak localization in the presence of nonlinearity.

Citations

• Multiple Scattering of Light by Atoms in the Weak Localization Regime
• Anderson Localization of a Bose-Einstein Condensate in a 3D Random Potential
• Light Transport in Cold Atoms and Thermal Decoherence
• Localization of Matter Waves in Two-Dimensional Disordered Optical Potentials

Cited by

• Regimes of classical transport of cold gases in a two-dimensional anisotropic disorder
• Coherent forward scattering in two-dimensional disordered systems
• Quantum diffusion of matter waves in 2D speckle potentials

Related

• Weak localization with nonlinear bosonic matter waves
• Coherent Transport in Two-Dimensional Disordered Potentials under Spatially Uniform SU(2) Gauge Fields
• Nonlinear Supression of Tunneling and Strong Localization in Bose-Einstein Condensates with Spatially Inhomogeneous Interactions
• On Bose-Einstein condensates in disordered media
• Disordered Bose Einstein Condensates with Interaction